%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% File:          mc6.m
%
% Dimension:     2
% Domain:        Triangulation of the sphere.
% Boundary:      A few dirichlet nodes sprinkled about; remainder are neumann.
%
% rcsid="$Id: mc6.m,v 1.4 2010/08/12 05:17:22 fetk Exp $"
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% MC = < Manifold Code >
%%% Copyright (C) 1994-- Michael Holst 
%%%
%%% This library is free software; you can redistribute it and/or 
%%% modify it under the terms of the GNU Lesser General Public 
%%% License as published by the Free Software Foundation; either  
%%% version 2.1 of the License, or (at your option) any later version. 
%%%
%%% This library is distributed in the hope that it will be useful, 
%%% but WITHOUT ANY WARRANTY; without even the implied warranty of             
%%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
%%% Lesser General Public License for more details. 
%%%
%%% You should have received a copy of the GNU Lesser General Public 
%%% License along with this library; if not, write to the Free Software  
%%% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA   
%%%
%%% rcsid="$Id: mc6.m,v 1.4 2010/08/12 05:17:22 fetk Exp $"
%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mcsf_begin=1;

      dim=2;         % intrinsic manifold dimension
    dimii=3;         % imbedding manifold dimension
 vertices=162;       % number of vertices
simplices=320;       % number of simplices

vert=[
%-------- ---- ----------------- ----------------- -----------------
% Vert-ID Chrt X-Coordinate      Y-Coordinate      Z-Coordinate
%-------- ---- ----------------- ----------------- -----------------
0         0    -5.2573100000e-01  0.0000000000e+00 -8.5065100000e-01
1         0     5.2573100000e-01  0.0000000000e+00 -8.5065100000e-01
2         0     5.2573100000e-01  0.0000000000e+00  8.5065100000e-01
3         0    -5.2573100000e-01  0.0000000000e+00  8.5065100000e-01
4         0    -8.5065100000e-01 -5.2573100000e-01  0.0000000000e+00
5         0    -8.5065100000e-01  5.2573100000e-01  0.0000000000e+00
6         0     8.5065100000e-01  5.2573100000e-01  0.0000000000e+00
7         0     8.5065100000e-01 -5.2573100000e-01  0.0000000000e+00
8         0     0.0000000000e+00 -8.5065100000e-01  5.2573100000e-01
9         0     0.0000000000e+00 -8.5065100000e-01 -5.2573100000e-01
10        0     0.0000000000e+00  8.5065100000e-01 -5.2573100000e-01
11        0     0.0000000000e+00  8.5065100000e-01  5.2573100000e-01
12        0    -3.0901700000e-01 -5.0000000000e-01 -8.0901700000e-01
13        0     0.0000000000e+00  0.0000000000e+00 -1.0000000000e+00
14        0     3.0901700000e-01 -5.0000000000e-01 -8.0901700000e-01
15        0     1.6246000000e-01 -2.6286600000e-01 -9.5105700000e-01
16        0     0.0000000000e+00 -5.2573100000e-01 -8.5065100000e-01
17        0    -1.6246000000e-01 -2.6286600000e-01 -9.5105700000e-01
18        0     4.3388900000e-01 -2.5989200000e-01 -8.6266800000e-01
19        0     2.7326600000e-01  0.0000000000e+00 -9.6193800000e-01
20        0     1.6062200000e-01 -7.0204600000e-01 -6.9378000000e-01
21        0    -1.6062200000e-01 -7.0204600000e-01 -6.9378000000e-01
22        0    -4.3388900000e-01 -2.5989200000e-01 -8.6266800000e-01
23        0    -3.0901700000e-01  5.0000000000e-01 -8.0901700000e-01
24        0     3.0901700000e-01  5.0000000000e-01 -8.0901700000e-01
25        0     0.0000000000e+00  5.2573100000e-01 -8.5065100000e-01
26        0     1.6246000000e-01  2.6286600000e-01 -9.5105700000e-01
27        0    -1.6246000000e-01  2.6286600000e-01 -9.5105700000e-01
28        0     1.6062200000e-01  7.0204600000e-01 -6.9378000000e-01
29        0    -1.6062200000e-01  7.0204600000e-01 -6.9378000000e-01
30        0     4.3388900000e-01  2.5989200000e-01 -8.6266800000e-01
31        0    -4.3388900000e-01  2.5989200000e-01 -8.6266800000e-01
32        0    -2.7326600000e-01  0.0000000000e+00 -9.6193800000e-01
33        0    -8.0901700000e-01  3.0901700000e-01 -5.0000000000e-01
34        0    -5.0000000000e-01  8.0901700000e-01 -3.0901700000e-01
35        0    -6.8819100000e-01  5.8778500000e-01 -4.2532500000e-01
36        0    -4.2532500000e-01  6.8819100000e-01 -5.8778500000e-01
37        0    -5.8778500000e-01  4.2532500000e-01 -6.8819100000e-01
38        0    -7.0204700000e-01  6.9378000000e-01 -1.6062200000e-01
39        0    -2.5989200000e-01  8.6266800000e-01 -4.3388900000e-01
40        0    -6.9378000000e-01  1.6062200000e-01 -7.0204600000e-01
41        0    -8.0901700000e-01 -3.0901700000e-01 -5.0000000000e-01
42        0    -1.0000000000e+00  0.0000000000e+00  0.0000000000e+00
43        0    -9.5105700000e-01 -1.6246000000e-01 -2.6286600000e-01
44        0    -9.5105700000e-01  1.6246000000e-01 -2.6286600000e-01
45        0    -8.5065100000e-01  0.0000000000e+00 -5.2573100000e-01
46        0    -9.6193800000e-01  2.7326600000e-01  0.0000000000e+00
47        0    -8.6266800000e-01  4.3388900000e-01 -2.5989200000e-01
48        0    -6.9378000000e-01 -1.6062200000e-01 -7.0204600000e-01
49        0    -5.0000000000e-01 -8.0901700000e-01 -3.0901700000e-01
50        0    -4.2532500000e-01 -6.8819100000e-01 -5.8778500000e-01
51        0    -6.8819100000e-01 -5.8778500000e-01 -4.2532500000e-01
52        0    -5.8778500000e-01 -4.2532500000e-01 -6.8819100000e-01
53        0    -2.5989200000e-01 -8.6266800000e-01 -4.3388900000e-01
54        0    -7.0204700000e-01 -6.9378000000e-01 -1.6062200000e-01
55        0    -8.6266800000e-01 -4.3388900000e-01 -2.5989200000e-01
56        0     0.0000000000e+00  0.0000000000e+00  1.0000000000e+00
57        0    -3.0901700000e-01 -5.0000000000e-01  8.0901700000e-01
58        0     3.0901700000e-01 -5.0000000000e-01  8.0901700000e-01
59        0     0.0000000000e+00 -5.2573100000e-01  8.5065100000e-01
60        0     1.6246000000e-01 -2.6286600000e-01  9.5105700000e-01
61        0    -1.6246000000e-01 -2.6286600000e-01  9.5105700000e-01
62        0     1.6062200000e-01 -7.0204600000e-01  6.9378000000e-01
63        0     4.3388900000e-01 -2.5989200000e-01  8.6266800000e-01
64        0     2.7326600000e-01  0.0000000000e+00  9.6193800000e-01
65        0    -4.3388900000e-01 -2.5989200000e-01  8.6266800000e-01
66        0    -2.7326600000e-01  0.0000000000e+00  9.6193800000e-01
67        0    -8.0901700000e-01 -3.0901700000e-01  5.0000000000e-01
68        0    -5.0000000000e-01 -8.0901700000e-01  3.0901700000e-01
69        0    -6.8819100000e-01 -5.8778500000e-01  4.2532500000e-01
70        0    -4.2532500000e-01 -6.8819100000e-01  5.8778500000e-01
71        0    -5.8778500000e-01 -4.2532500000e-01  6.8819100000e-01
72        0    -7.0204700000e-01 -6.9378000000e-01  1.6062200000e-01
73        0    -2.5989200000e-01 -8.6266800000e-01  4.3388900000e-01
74        0    -1.6062200000e-01 -7.0204600000e-01  6.9378000000e-01
75        0    -6.9378000000e-01 -1.6062200000e-01  7.0204600000e-01
76        0    -8.0901700000e-01  3.0901700000e-01  5.0000000000e-01
77        0    -9.5105700000e-01  1.6246000000e-01  2.6286600000e-01
78        0    -9.5105700000e-01 -1.6246000000e-01  2.6286600000e-01
79        0    -8.5065100000e-01  0.0000000000e+00  5.2573100000e-01
80        0    -9.6193800000e-01 -2.7326600000e-01  0.0000000000e+00
81        0    -8.6266800000e-01 -4.3388900000e-01  2.5989200000e-01
82        0    -6.9378000000e-01  1.6062200000e-01  7.0204600000e-01
83        0    -3.0901700000e-01  5.0000000000e-01  8.0901700000e-01
84        0    -5.0000000000e-01  8.0901700000e-01  3.0901700000e-01
85        0    -4.2532500000e-01  6.8819100000e-01  5.8778500000e-01
86        0    -6.8819100000e-01  5.8778500000e-01  4.2532500000e-01
87        0    -5.8778500000e-01  4.2532500000e-01  6.8819100000e-01
88        0    -2.5989200000e-01  8.6266800000e-01  4.3388900000e-01
89        0    -7.0204700000e-01  6.9378000000e-01  1.6062200000e-01
90        0    -8.6266800000e-01  4.3388900000e-01  2.5989200000e-01
91        0    -4.3388900000e-01  2.5989200000e-01  8.6266800000e-01
92        0     3.0901700000e-01  5.0000000000e-01  8.0901700000e-01
93        0     1.6246000000e-01  2.6286600000e-01  9.5105700000e-01
94        0     0.0000000000e+00  5.2573100000e-01  8.5065100000e-01
95        0    -1.6246000000e-01  2.6286600000e-01  9.5105700000e-01
96        0     1.6062200000e-01  7.0204600000e-01  6.9378000000e-01
97        0    -1.6062200000e-01  7.0204600000e-01  6.9378000000e-01
98        0     8.0901700000e-01  3.0901700000e-01  5.0000000000e-01
99        0     5.0000000000e-01  8.0901700000e-01  3.0901700000e-01
100       0     4.2532500000e-01  6.8819100000e-01  5.8778500000e-01
101       0     5.8778500000e-01  4.2532500000e-01  6.8819100000e-01
102       0     6.8819100000e-01  5.8778500000e-01  4.2532500000e-01
103       0     2.5989200000e-01  8.6266800000e-01  4.3388900000e-01
104       0     4.3388900000e-01  2.5989200000e-01  8.6266800000e-01
105       0     6.9378000000e-01  1.6062200000e-01  7.0204600000e-01
106       0     7.0204700000e-01  6.9378000000e-01  1.6062200000e-01
107       0     8.6266800000e-01  4.3388900000e-01  2.5989200000e-01
108       0     5.0000000000e-01  8.0901700000e-01 -3.0901700000e-01
109       0     0.0000000000e+00  1.0000000000e+00  0.0000000000e+00
110       0     2.6286600000e-01  9.5105700000e-01 -1.6246000000e-01
111       0     2.6286600000e-01  9.5105700000e-01  1.6246000000e-01
112       0     5.2573100000e-01  8.5065100000e-01  0.0000000000e+00
113       0     0.0000000000e+00  9.6193800000e-01 -2.7326600000e-01
114       0     2.5989200000e-01  8.6266800000e-01 -4.3388900000e-01
115       0     0.0000000000e+00  9.6193800000e-01  2.7326600000e-01
116       0     7.0204700000e-01  6.9378000000e-01 -1.6062200000e-01
117       0     8.0901700000e-01  3.0901700000e-01 -5.0000000000e-01
118       0     5.8778500000e-01  4.2532500000e-01 -6.8819100000e-01
119       0     4.2532500000e-01  6.8819100000e-01 -5.8778500000e-01
120       0     6.8819100000e-01  5.8778500000e-01 -4.2532500000e-01
121       0     6.9378000000e-01  1.6062200000e-01 -7.0204600000e-01
122       0     8.6266800000e-01  4.3388900000e-01 -2.5989200000e-01
123       0     1.0000000000e+00  0.0000000000e+00  0.0000000000e+00
124       0     8.0901700000e-01 -3.0901700000e-01 -5.0000000000e-01
125       0     9.5105700000e-01 -1.6246000000e-01 -2.6286600000e-01
126       0     8.5065100000e-01  0.0000000000e+00 -5.2573100000e-01
127       0     9.5105700000e-01  1.6246000000e-01 -2.6286600000e-01
128       0     8.6266800000e-01 -4.3388900000e-01 -2.5989200000e-01
129       0     9.6193800000e-01 -2.7326600000e-01  0.0000000000e+00
130       0     6.9378000000e-01 -1.6062200000e-01 -7.0204600000e-01
131       0     9.6193800000e-01  2.7326600000e-01  0.0000000000e+00
132       0     8.5065100000e-01  0.0000000000e+00  5.2573100000e-01
133       0     9.5105700000e-01 -1.6246000000e-01  2.6286600000e-01
134       0     9.5105700000e-01  1.6246000000e-01  2.6286600000e-01
135       0     6.9378000000e-01 -1.6062200000e-01  7.0204600000e-01
136       0     8.6266800000e-01 -4.3388900000e-01  2.5989200000e-01
137       0    -2.6286600000e-01  9.5105700000e-01  1.6246000000e-01
138       0    -2.6286600000e-01  9.5105700000e-01 -1.6246000000e-01
139       0    -5.2573100000e-01  8.5065100000e-01  0.0000000000e+00
140       0     0.0000000000e+00 -1.0000000000e+00  0.0000000000e+00
141       0    -2.6286600000e-01 -9.5105700000e-01 -1.6246000000e-01
142       0    -2.6286600000e-01 -9.5105700000e-01  1.6246000000e-01
143       0    -5.2573100000e-01 -8.5065100000e-01  0.0000000000e+00
144       0     0.0000000000e+00 -9.6193800000e-01 -2.7326600000e-01
145       0     0.0000000000e+00 -9.6193800000e-01  2.7326600000e-01
146       0     5.0000000000e-01 -8.0901700000e-01  3.0901700000e-01
147       0     8.0901700000e-01 -3.0901700000e-01  5.0000000000e-01
148       0     6.8819100000e-01 -5.8778500000e-01  4.2532500000e-01
149       0     5.8778500000e-01 -4.2532500000e-01  6.8819100000e-01
150       0     4.2532500000e-01 -6.8819100000e-01  5.8778500000e-01
151       0     7.0204700000e-01 -6.9378000000e-01  1.6062200000e-01
152       0     2.5989200000e-01 -8.6266800000e-01  4.3388900000e-01
153       0     5.0000000000e-01 -8.0901700000e-01 -3.0901700000e-01
154       0     2.6286600000e-01 -9.5105700000e-01 -1.6246000000e-01
155       0     5.2573100000e-01 -8.5065100000e-01  0.0000000000e+00
156       0     2.6286600000e-01 -9.5105700000e-01  1.6246000000e-01
157       0     2.5989200000e-01 -8.6266800000e-01 -4.3388900000e-01
158       0     7.0204700000e-01 -6.9378000000e-01 -1.6062200000e-01
159       0     5.8778500000e-01 -4.2532500000e-01 -6.8819100000e-01
160       0     6.8819100000e-01 -5.8778500000e-01 -4.2532500000e-01
161       0     4.2532500000e-01 -6.8819100000e-01 -5.8778500000e-01
];

simp=[
%-------- ---- ---- ------------------- ---------------------------------------
% Simp-ID Grp  Mat  Face-Types          Vertex-Numbers
%-------- ---- ---- ------------------- ---------------------------------------
0         0    0    0    0    0         15 16 17
1         0    0    0    0    0         17 16 12
2         0    0    0    0    0         17 13 15
3         0    0    0    0    0         14 16 15
4         0    0    0    0    0         19 18 15
5         0    0    0    0    0         1 18 19
6         0    0    0    0    0         15 13 19
7         0    0    0    0    0         15 18 14
8         0    0    0    0    0         21 16 20
9         0    0    0    0    0         12 16 21
10        0    0    0    0    0         20 9 21
11        0    0    0    0    0         20 16 14
12        0    0    0    0    0         17 22 32
13        0    0    0    0    0         12 22 17
14        0    0    0    0    0         32 13 17
15        0    0    0    0    0         32 22 0
16        0    0    0    0    0         25 26 27
17        0    0    0    0    0         27 26 13
18        0    0    0    0    0         27 23 25
19        0    0    0    0    0         24 26 25
20        0    0    0    0    0         29 28 25
21        0    0    0    0    0         10 28 29
22        0    0    0    0    0         25 23 29
23        0    0    0    0    0         25 28 24
24        0    0    0    0    0         19 26 30
25        0    0    0    0    0         13 26 19
26        0    0    0    0    0         30 1 19
27        0    0    0    0    0         30 26 24
28        0    0    0    0    0         27 32 31
29        0    0    0    0    0         13 32 27
30        0    0    0    0    0         31 23 27
31        0    0    0    0    0         31 32 0
32        0    0    0    0    0         35 36 37
33        0    0    0    0    0         37 36 23
34        0    0    0    0    0         37 33 35
35        0    0    0    0    0         34 36 35
36        0    0    0    0    0         47 38 35
37        0    0    0    0    0         5 38 47
38        0    0    0    0    0         35 33 47
39        0    0    0    0    0         35 38 34
40        0    0    0    0    0         29 36 39
41        0    0    0    0    0         23 36 29
42        0    0    0    0    0         39 10 29
43        0    0    0    0    0         39 36 34
44        0    0    0    0    0         37 31 40
45        0    0    0    0    0         23 31 37
46        0    0    0    0    0         40 33 37
47        0    0    0    0    0         40 31 0
48        0    0    0    0    0         43 44 45
49        0    0    0    0    0         45 44 33
50        0    0    0    0    0         45 41 43
51        0    0    0    0    0         42 44 43
52        0    0    0    0    0         55 80 43
53        0    0    0    0    0         4 80 55
54        0    0    0    0    0         43 41 55
55        0    0    0    0    0         43 80 42
56        0    0    0    0    0         47 44 46
57        0    0    0    0    0         33 44 47
58        0    0    0    0    0         46 5 47
59        0    0    0    0    0         46 44 42
60        0    0    0    0    0         45 40 48
61        0    0    0    0    0         33 40 45
62        0    0    0    0    0         48 41 45
63        0    0    0    0    0         48 40 0
64        0    0    0    0    0         50 51 52
65        0    0    0    0    0         52 51 41
66        0    0    0    0    0         52 12 50
67        0    0    0    0    0         49 51 50
68        0    0    0    0    0         21 53 50
69        0    0    0    0    0         9 53 21
70        0    0    0    0    0         50 12 21
71        0    0    0    0    0         50 53 49
72        0    0    0    0    0         55 51 54
73        0    0    0    0    0         41 51 55
74        0    0    0    0    0         54 4 55
75        0    0    0    0    0         54 51 49
76        0    0    0    0    0         52 48 22
77        0    0    0    0    0         41 48 52
78        0    0    0    0    0         22 12 52
79        0    0    0    0    0         22 48 0
80        0    0    0    0    0         59 60 61
81        0    0    0    0    0         61 60 56
82        0    0    0    0    0         61 57 59
83        0    0    0    0    0         58 60 59
84        0    0    0    0    0         74 62 59
85        0    0    0    0    0         8 62 74
86        0    0    0    0    0         59 57 74
87        0    0    0    0    0         59 62 58
88        0    0    0    0    0         64 60 63
89        0    0    0    0    0         56 60 64
90        0    0    0    0    0         63 2 64
91        0    0    0    0    0         63 60 58
92        0    0    0    0    0         61 66 65
93        0    0    0    0    0         56 66 61
94        0    0    0    0    0         65 57 61
95        0    0    0    0    0         65 66 3
96        0    0    0    0    0         69 70 71
97        0    0    0    0    0         71 70 57
98        0    0    0    0    0         71 67 69
99        0    0    0    0    0         68 70 69
100       0    0    0    0    0         81 72 69
101       0    0    0    0    0         4 72 81
102       0    0    0    0    0         69 67 81
103       0    0    0    0    0         69 72 68
104       0    0    0    0    0         74 70 73
105       0    0    0    0    0         57 70 74
106       0    0    0    0    0         73 8 74
107       0    0    0    0    0         73 70 68
108       0    0    0    0    0         71 65 75
109       0    0    0    0    0         57 65 71
110       0    0    0    0    0         75 67 71
111       0    0    0    0    0         75 65 3
112       0    0    0    0    0         77 78 79
113       0    0    0    0    0         79 78 67
114       0    0    0    0    0         79 76 77
115       0    0    0    0    0         42 78 77
116       0    0    0    0    0         90 46 77
117       0    0    0    0    0         5 46 90
118       0    0    0    0    0         77 76 90
119       0    0    0    0    0         77 46 42
120       0    0    0    0    0         81 78 80
121       0    0    0    0    0         67 78 81
122       0    0    0    0    0         80 4 81
123       0    0    0    0    0         80 78 42
124       0    0    0    0    0         79 75 82
125       0    0    0    0    0         67 75 79
126       0    0    0    0    0         82 76 79
127       0    0    0    0    0         82 75 3
128       0    0    0    0    0         85 86 87
129       0    0    0    0    0         87 86 76
130       0    0    0    0    0         87 83 85
131       0    0    0    0    0         84 86 85
132       0    0    0    0    0         97 88 85
133       0    0    0    0    0         11 88 97
134       0    0    0    0    0         85 83 97
135       0    0    0    0    0         85 88 84
136       0    0    0    0    0         90 86 89
137       0    0    0    0    0         76 86 90
138       0    0    0    0    0         89 5 90
139       0    0    0    0    0         89 86 84
140       0    0    0    0    0         87 82 91
141       0    0    0    0    0         76 82 87
142       0    0    0    0    0         91 83 87
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];

mcsf_end=1;

